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3364411020 = 2235235474457
BaseRepresentation
bin1100100010001000…
…1101011010001100
322200110201210021120
43020202031122030
523342242123040
61313503000540
7146242010325
oct31042153214
98613653246
103364411020
111477138883
1279a899150
13418044c69
1423cb8544c
1514a5777d0
hexc888d68c

3364411020 has 96 divisors (see below), whose sum is σ = 9850111488. Its totient is φ = 856407552.

The previous prime is 3364411013. The next prime is 3364411049. The reversal of 3364411020 is 201144633.

It is a super-2 number, since 2×33644110202 = 22638523022994880800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 752632 + ... + 757088.

It is an arithmetic number, because the mean of its divisors is an integer number (102605328).

Almost surely, 23364411020 is an apocalyptic number.

3364411020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3364411020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925055744).

3364411020 is an abundant number, since it is smaller than the sum of its proper divisors (6485700468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3364411020 is a wasteful number, since it uses less digits than its factorization.

3364411020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5039 (or 5037 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3364411020 is about 58003.5431676376. The cubic root of 3364411020 is about 1498.4296187311.

Adding to 3364411020 its reverse (201144633), we get a palindrome (3565555653).

The spelling of 3364411020 in words is "three billion, three hundred sixty-four million, four hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 547 690 1094 1380 1641 2188 2735 3282 4457 5470 6564 8205 8914 10940 12581 13371 16410 17828 22285 25162 26742 32820 37743 44570 50324 53484 62905 66855 75486 89140 102511 125810 133710 150972 188715 205022 251620 267420 307533 377430 410044 512555 615066 754860 1025110 1230132 1537665 2050220 2437979 3075330 4875958 6150660 7313937 9751916 12189895 14627874 24379790 29255748 36569685 48759580 56073517 73139370 112147034 146278740 168220551 224294068 280367585 336441102 560735170 672882204 841102755 1121470340 1682205510 3364411020